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PID Control of Multivariable Systems

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Analytical Design of PID Controllers

Abstract

In this chapter, we describe a novel approach to design multivariable controllers using single-input single-output theory. This method, based on the Smith-McMillan diagonal form of the plant, allows the scalar PID controller design methods, developed in earlier chapters, to be applied to multivariable systems, one loop at a time.

Section 8.3 is reproduced from Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya, Stability Margin Based Design of Multivariable Controllers. IEEE, with permission \(\copyright \) 2017 IEEE.

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References

  1. Diaz-Rodriguez, I., Han, S., Bhattacharyya, S.P.: Stability margin based design of multivariable controllers. In: IEEE Conference on Control Technology and Applications (CCTA), IEEE, pp. 1661–1666 (2017)

    Google Scholar 

  2. Kallakuri, P., Keel, L.H., Bhattacharyya, S.P.: Multivariable controller design with integrity. In: 2013 American Control Conference, IEEE, pp. 5159–5164 (2013)

    Google Scholar 

  3. Keel, L.H., Bhattacharyya, S.P.: On the stability of multivariable feedback systems. In: 2015 IEEE 54th Annual Conference on Decision and Control (CDC), IEEE, pp. 4627–4631 (2015)

    Google Scholar 

  4. Keel, L.H., Bhattacharyya, S.P. Exact multivariable control design using siso methods: recent results. In: 2016 IEEE Conference on Control Applications (CCA), IEEE, pp. 215–223 (2016)

    Google Scholar 

  5. Mohsenizadeh, D.N., Keel, L.H., Bhattacharyya, S.P.: Multivariable controller synthesis using siso design methods. In: 2015 54th IEEE Conference on Decision and Control (CDC), IEEE, pp. 2680–2685 (2015)

    Google Scholar 

  6. O’Reilly, J., Leithead, W.E.: Multivariable control by individual channel design. Int. J. Control 54(1), 1–46 (1991)

    Google Scholar 

  7. Rajapandiyan, C., Chidambaram, M.: Controller design for MIMO processes based on simple decoupled equivalent transfer functions and simplified decoupler. Ind. Eng. Chem. Res. 51(38), 12398–12410 (2012)

    Google Scholar 

  8. Vu, T.N.L., Lee, M.: Independent design of multi-loop PI/PID controllers for interacting multivariable processes. J. Process Control 20(8), 922–933 (2010)

    Google Scholar 

  9. Zanwar, S.R., Sankeshwari, S.S., Scholar, P.G.: Design of multi loop PI/PID controller for interacting multivariable process with effective open loop transfer function. Int. J. Eng. Sci. 7603 (2016)

    Google Scholar 

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Correspondence to Sangjin Han .

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Díaz-Rodríguez, I.D., Han, S., Bhattacharyya, S.P. (2019). PID Control of Multivariable Systems. In: Analytical Design of PID Controllers. Springer, Cham. https://doi.org/10.1007/978-3-030-18228-1_8

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